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In how many ways can a total of 15 be obtained if 5 distinguishable standard dice are rolled?

 
 Sep 12, 2021
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There are 651 ways of getting a sum of 15 on a roll of 5 dice. 

 

They begin like this:  11166 , 11256 , 11265 , 11346 , 11355 , 11364 , 11436 , 11445 , 11454 , 11463 , 11526 , 11535 , 11544 ,  63231.......etc.............. And end like this:  63312 , 63321 , 63411 , 64113 , 64122 , 64131 , 64212 , 64221 , 64311 , 65112 , 65121 , 65211 , 66111 , Total =  651 ways.

 
 Sep 12, 2021

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